Numerical Stability
by M.N. Spijker
Publisher: Leiden University 1998
Number of pages: 71
Description:
Stability estimates and resolvent conditions in the numerical solution of initial value problems. Contents: Partial differential equations and numerical methods; Analysis; Linear algebra; The problem of stability in the numerical solution of differential equations; Stability estimates under resolvent conditions on the numerical solution operator B; Stability estimates under resolvent conditions on hA.
Download or read it online for free here:
Download link
(410KB, PDF)
Similar books

by M. Holst, M. Licht - arXiv.org
We present a new technique to apply finite element methods to partial differential equations over curved domains. Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove finite element convergence rates for the problem.
(6105 views)

by Richard Barrett et al. - Society for Industrial Mathematics
The book focuses on the use of iterative methods for solving large sparse systems of linear equations. General and reusable templates are introduced to meet the needs of both the traditional user and the high-performance specialist.
(17088 views)

by Justin Solomon - CRC Press
Using examples from a broad base of computational tasks, including data processing and computational photography, the book introduces numerical modeling and algorithmic design from a practical standpoint and provides insight into theoretical tools.
(10731 views)

by Ian Craw - University of Aberdeen
The overall aim of the course is to present modern computer programming techniques in the context of mathematical computation and numerical analysis and to foster the independence needed to use these techniques as appropriate in subsequent work.
(15420 views)